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TitleDouble-soliton and conservation law structures for a higher-order type of Korteweg-de Vries equation
Creator
Date Issued2015-12-01
Source PublicationPhysics Essays
ISSN0836-1398
Volume28Issue:4Pages:633-638
AbstractThe second-order Korteweg-de Vries (sKdV) equation was introduced as a type of KdV-typed model that describes the wave propagations in a weakly nonlinear and weakly dispersive system. However, the question about the multisoliton solution still remains open. In this article, we discovered numerically that the solitons with different speeds and amplitudes seem to be almost unaffected in shapes by passing through each other (though this could cause a change in their position). Such a double-soliton phenomenon characterizes the most important feature of the equation. In addition, we present the conservation laws, Hamiltonian and Lagrangian density functions for the equation and perform the numerical computation to shed light on the existence of soliton phenomenon.
KeywordHamiltonian. KdV Second-Order kdv Soliton
DOI10.4006/0836-1398-28.4.633
URLView source
Language英语English
Scopus ID2-s2.0-84975769696
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttps://repository.uic.edu.cn/handle/39GCC9TT/6433
CollectionBeijing Normal-Hong Kong Baptist University
Corresponding AuthorLee,C. T.
Affiliation
1.Department of Financial Mathematics,Beijing Normal University-Hong Kong,Baptist University United International College,Zhuhai, Guangdong,519085,China
2.Department of Chemistry,Simon Fraser University,Vancouver,V6B 5K3,Canada
3.Department of Physics,Shantou University,Shantou, Guangdong,515063,China
First Author AffilicationBeijing Normal-Hong Kong Baptist University
Corresponding Author AffilicationBeijing Normal-Hong Kong Baptist University
Recommended Citation
GB/T 7714
Lee,C. T.,Lee,C. C.,Liu,M. L. Double-soliton and conservation law structures for a higher-order type of Korteweg-de Vries equation[J]. Physics Essays, 2015, 28(4): 633-638.
APA Lee,C. T., Lee,C. C., & Liu,M. L. (2015). Double-soliton and conservation law structures for a higher-order type of Korteweg-de Vries equation. Physics Essays, 28(4), 633-638.
MLA Lee,C. T.,et al."Double-soliton and conservation law structures for a higher-order type of Korteweg-de Vries equation". Physics Essays 28.4(2015): 633-638.
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